Analytical method assesses stress concentration in a magnetoelectroelastic half-plane with nanotopography, highlighting interactions of material gradients and surface elasticity.
The antiplane dynamic problem for a graded nanocracked magnetoelectroelastic half‐plane with nanotopography is analyzed. A non‐hypersingular traction boundary integral equation method, based on an analytically derived Green‘s function for a half‐plane, is employed. The mechanical model integrates classical continuum mechanics with nonclassical boundary conditions described by the Gurtin–Murdoch surface elasticity model. The sensitivity of the generalized stress concentration field with respect to factors such as material gradients, surface elasticity, nanorelief and nanocrack characteristics, coupled material properties, and applied dynamic load properties is examined.
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Stoynov et al. (2025) studied this question.
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